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A DAS GUPTA-Differentiation-Exercise
- Differentiate the function w.r.t x :cos^-1 (e^sqrt(tanx))
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- Differentiate the function w.r.t x :root(3)(sinx)
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- Differentiate the function w.r.t x :e^(x^2)
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- Differentiate the function w.r.t x :logx/x
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- Find the derivatives w.r.t x at the indicated points : xtan^-1x at x=...
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- Find the derivatives w.r.t x at the indicated points : log |x | at x=...
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- Find the derivatives w.r.t x at the indicated points : |x-1| + |x-3| ...
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- Find the derivatives w.r.t x at the indicated points : |cos x| at x=(...
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- Find the derivatives w.r.t x at the indicated points : sin(log x) at ...
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- If f(x)=x+log|x|, x!=0 find f'(x).
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- If y=2/(sqrt (a^2-b^2)) tan ^-1 [(sqrt( a-b)/(a+b)) tan x/2], show tha...
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- Show that y= Asin x + Bcos x + xsin x is a solution of differential eq...
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- Show that, v = A/r + B satisfies the differential equation (d^2v)/(dr...
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- If y=(ax^2)/((x-a)(x-b)(x-c))+(bx)/((x-b)(x-c))+c/(x-c)+1 then (y prim...
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- If y=sqrt (a^2-x^2)+a/2 log ((a-sqrt(a^2-x^2))/(a+sqrt(a^2-x^2))), the...
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- Find (dy)/(dx), if y=sin^(-1)[xsqrt(\ 1-x)-\ sqrt(x)\ sqrt(1-x^2)\ ]\
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- "if y"="cos"^(-1)((5"cos" x-12 "sin"x)/(13)), where x in (0,(pi)/(2)...
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- Find dy/dx if y is equal to : (xlogx)^loglog x
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- Find dy/dx if y is equal to : x^(x^x) + (cot 4x)^x
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- Find dy/dx if y is equal to : (tan x)^sin x + (log x )^x
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